Protocol 3: GW Residual Aliasing

Status: Analyzing LIGO/Virgo post-merger residuals for GUE spectral rigidity

Theoretic Postulate

The AToE posits that the vacuum operates at a finite sampling frequency (f_Nyquist). High-energy events, such as Binary Black Hole (BBH) mergers, reach the informational saturation threshold of the substrate.

This causes Arithmetic Aliasing: high-frequency gravitational data is reflected into the detectable bandwidth. The resulting residuals are not random noise but contain an imprint of the Riemann Zeta spectrum (GUE statistics).

ν_n / ν₁ ≡ γ_n / γ₁

Data Analysis: Ringdown Residuals

Data Source: Whitened strain data from high-SNR LIGO/Virgo events (e.g., GW150914).
Statistical Filter: Application of a Non-Gaussianity Filter to the residuals after subtracting the best-fit General Relativity (GR) waveform.
Resonant Ratio Test: Identifying spectral peaks that match the ratios of the first twelve Zeta Zeros. The ratio ν₁₂/ν₁ ≈ 3.99 is the dominant structural resonance.

Falsification Bounds

VERIFICATION	Detection of the Level Repulsion Parameter β ≈ 2 (Wigner-Dyson distribution) in the spacing of residual peaks.
FALSIFICATION	If residuals follow a purely Poisson distribution (β ≈ 1) or if spectral peaks do not align with γ_n ratios within 10^-4.